2 citations · 4 across the 9 of their papers we have counts for
9 papers
A Generalization of the Passivity Theorem and the Small Gain Theorem Based on -Stability, with Application to a Parameter Adaptation Algorithm for Recursive Identification
Henri Bourlès
The usual passivity theorem considers a closed-loop, the direct chain of which consists of a strictly passive stable operator , and the feedback chain of which consists of a…
Pseudo-linear regression identification based on generalized orthonormal transfer functions: Convergence conditions and bias distribution
Bernard Vau, Henri Bourlès
In this paper we generalize three identification recursive algorithms belonging to the pseudo-linear class, by introducing a predictor established on a generalized orthonormal func…
Some remarks on the bias distribution analysis of discrete-time identification algorithms based on pseudo-linear regressions
Bernard Vau, Henri Bourlès
In 1998, A. Karimi and I.D. Landau published in the journal "Systems and Control letters" an article entitled "Comparison of the closed-loop identification methods in terms of bias…
Structures in Concrete Categories
Henri Bourlès
The monumental treatise "Éléments de mathématique" of N. Bourbaki is based on the notion of structure and on the theory of sets. On the other hand, the theory of categories is base…
Algebraic Analysis Applied to the Theory of Linear Dynamical Systems
Henri Bourlès
The expression "Algebraic Analysis" was coined by Mikio Sato. It consists of using algebraic notions to solve analytic problem. The origin of Algebraic Analysis is Algebraic Geomet…
On the Closed Graph Theorem and the Open Mapping Theorem
Henri Bourlès
Let be two topological spaces and be a map. \ If is Haudorff and is continuous, then its graph is closed. \ \ The Closed Graph Theorem establishes…
On semi-barrelled spaces
Henri Bourlès
The aim of this paper is to clarify the properties of semi-barrelled spaces (also called countably quasi-barrelled spaces in the literature). These spaces were studied by several a…
On Stably Free Ideal Domains
Henri Bourlès
We define a stably free ideal domain to be a Noetherian domain whose left and right ideals ideals are all stably free. We define also a semi-stably free ideal domain to be an Ore d…
Injectivity and flatness of semitopological modules
Henri Bourlès
The spaces D, S and E' over \mathbb{R}^(n) are known to be flat modules over A=\mathbb{C}[\partial_{1},...,\partial_{n}], whereas their duals D', S' and E are known to be injective…